Towards a practical controller design for DPS

Ruth F. Curtain

Towards a practical controller design for DPS

Ruth F. Curtain^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

We review the popular LQG controller design for DPS and its shortcomings. In particular, its applicability is essentially restricted to exponentially stabilizable and detectable DPS with finite-rank bounded input and output operators. As an alternative, we propose a new practical control design that is applicable to DPS with unbounded, finite-rank input and output operators, provided that the generator has finitely many unstable eigenvalues and satisfies the spectrum determined growth assumption.

Original language	English
Title of host publication	PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14
Place of Publication	NEW YORK
Publisher	IEEE (The Institute of Electrical and Electronics Engineers)
Pages	4682-4687
Number of pages	6
ISBN (Print)	978-1-4244-0170-3
Publication status	Published - 2006
Event	45th IEEE Conference on Decision and Control - , Canada Duration: 13-Dec-2006 → 15-Dec-2006

Publication series

Name	IEEE Conference on Decision and Control
Publisher	IEEE
ISSN (Print)	0191-2216

Other

Other	45th IEEE Conference on Decision and Control
Country/Territory	Canada
Period	13/12/2006 → 15/12/2006

Keywords

INFINITE-DIMENSIONAL SYSTEMS
RICCATI EQUATION
APPROXIMATION
FEEDBACK

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@inproceedings{356ec735ad484fc9aef25025d1fe5078,

title = "Towards a practical controller design for DPS",

abstract = "We review the popular LQG controller design for DPS and its shortcomings. In particular, its applicability is essentially restricted to exponentially stabilizable and detectable DPS with finite-rank bounded input and output operators. As an alternative, we propose a new practical control design that is applicable to DPS with unbounded, finite-rank input and output operators, provided that the generator has finitely many unstable eigenvalues and satisfies the spectrum determined growth assumption.",

keywords = "INFINITE-DIMENSIONAL SYSTEMS, RICCATI EQUATION, APPROXIMATION, FEEDBACK",

author = "Curtain, {Ruth F.}",

year = "2006",

language = "English",

isbn = "978-1-4244-0170-3",

series = "IEEE Conference on Decision and Control",

publisher = "IEEE (The Institute of Electrical and Electronics Engineers)",

pages = "4682--4687",

booktitle = "PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14",

note = "45th IEEE Conference on Decision and Control ; Conference date: 13-12-2006 Through 15-12-2006",

}

Towards a practical controller design for DPS. / Curtain, Ruth F.
PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14. NEW YORK: IEEE (The Institute of Electrical and Electronics Engineers), 2006. p. 4682-4687 (IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Towards a practical controller design for DPS

AU - Curtain, Ruth F.

PY - 2006

Y1 - 2006

N2 - We review the popular LQG controller design for DPS and its shortcomings. In particular, its applicability is essentially restricted to exponentially stabilizable and detectable DPS with finite-rank bounded input and output operators. As an alternative, we propose a new practical control design that is applicable to DPS with unbounded, finite-rank input and output operators, provided that the generator has finitely many unstable eigenvalues and satisfies the spectrum determined growth assumption.

AB - We review the popular LQG controller design for DPS and its shortcomings. In particular, its applicability is essentially restricted to exponentially stabilizable and detectable DPS with finite-rank bounded input and output operators. As an alternative, we propose a new practical control design that is applicable to DPS with unbounded, finite-rank input and output operators, provided that the generator has finitely many unstable eigenvalues and satisfies the spectrum determined growth assumption.

KW - INFINITE-DIMENSIONAL SYSTEMS

KW - RICCATI EQUATION

KW - APPROXIMATION

KW - FEEDBACK

M3 - Conference contribution

SN - 978-1-4244-0170-3

T3 - IEEE Conference on Decision and Control

SP - 4682

EP - 4687

BT - PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14

PB - IEEE (The Institute of Electrical and Electronics Engineers)

CY - NEW YORK

T2 - 45th IEEE Conference on Decision and Control

Y2 - 13 December 2006 through 15 December 2006

ER -

Towards a practical controller design for DPS

Abstract

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Keywords

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